What is the Least Common Multiple of 78469 and 78483?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 78469 and 78483 is 6158482527.
LCM(78469,78483) = 6158482527
Least Common Multiple of 78469 and 78483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78469 and 78483, than apply into the LCM equation.
GCF(78469,78483) = 1
LCM(78469,78483) = ( 78469 × 78483) / 1
LCM(78469,78483) = 6158482527 / 1
LCM(78469,78483) = 6158482527
Least Common Multiple (LCM) of 78469 and 78483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78469 and 78483. First we will calculate the prime factors of 78469 and 78483.
Prime Factorization of 78469
Prime factors of 78469 are 131, 599. Prime factorization of 78469 in exponential form is:
78469 = 1311 × 5991
Prime Factorization of 78483
Prime factors of 78483 are 3, 26161. Prime factorization of 78483 in exponential form is:
78483 = 31 × 261611
Now multiplying the highest exponent prime factors to calculate the LCM of 78469 and 78483.
LCM(78469,78483) = 1311 × 5991 × 31 × 261611
LCM(78469,78483) = 6158482527
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